{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook illustrates the [TubeTK](http://tubetk.org) tube NumPy array data structure and how to create histograms of the properties of a [VesselTube](http://www.itk.org/Doxygen/html/classitk_1_1VesselTubeSpatialObject.html).\n",
    "\n",
    "First, import the function for reading a tube file in as a NumPy array, and read in the file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import sys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Path for TubeTK libs\n",
    "TubeTK_BUILD_DIR=None\n",
    "if 'TubeTK_BUILD_DIR' in os.environ:\n",
    "    TubeTK_BUILD_DIR = os.environ['TubeTK_BUILD_DIR']\n",
    "if not os.path.exists(TubeTK_BUILD_DIR):\n",
    "    print('TubeTK_BUILD_DIR not found!')\n",
    "    print('  Set environment variable')\n",
    "    sys.exit(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sys.path.append(os.path.join(TubeTK_BUILD_DIR,'Base/Python'))\n",
    "import tubetk\n",
    "from tubetk.numpy import tubes_from_file\n",
    "\n",
    "import os\n",
    "filepath = os.path.join(os.path.dirname(tubetk.__file__),\n",
    "                        '..', '..', '..',\n",
    "                        'MIDAS_Data', 'VascularNetwork.tre')\n",
    "\n",
    "tubes = tubes_from_file(filepath)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is a [NumPy Record Array](http://docs.scipy.org/doc/numpy/user/basics.rec.html) where the fields of the array correspond to the properties of a [VesselTubeSpatialObjectPoint](http://www.itk.org/Doxygen/html/classitk_1_1VesselTubeSpatialObjectPoint.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<type 'numpy.ndarray'>\n",
      "[('ID', '<i4'), ('Position', '<f8', (3,)), ('Color', '<f4', (4,)), ('Tangent', '<f8', (3,)), ('Normal1', '<f8', (3,)), ('Normal2', '<f8', (3,)), ('Radius', '<f4'), ('Alpha1', '<f4'), ('Alpha2', '<f4'), ('Alpha3', '<f4'), ('Medialness', '<f4'), ('Ridgeness', '<f4'), ('Branchness', '<f4'), ('Mark', '?')]\n"
     ]
    }
   ],
   "source": [
    "print(type(tubes))\n",
    "print(tubes.dtype)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The length of the array corresponds to the number of points that make up the tubes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "110655\n",
      "(110655,)\n"
     ]
    }
   ],
   "source": [
    "print(len(tubes))\n",
    "print(tubes.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Individual points can be sliced, or views can be created on individual fields."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Entire points 0, 2:\n",
      "[ (-1, [249.4600067138672, 185.70599365234375, 0.5305629968643188], [1.0, 0.0, 0.0, 1.0], [0.16296979670004633, -0.9853404631248955, -0.050448162428001125], [-0.8861203952887874, -0.12369174779149847, -0.44664414983466155], [-0.43385653206652175, -0.11749265192811313, 0.8932882996693231], 2.4312500953674316, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, False)\n",
      " (-1, [249.46099853515625, 185.6999969482422, 0.5302559733390808], [1.0, 0.0, 0.0, 1.0], [0.26352887911124834, -0.964488943346244, -0.017708981823207896], [0.7833838934817812, 0.22468554453320252, -0.5795050314804383], [-0.5629051477004758, -0.13884338025510587, -0.8147762333620451], 2.4308600425720215, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, False)]\n",
      "\n",
      "Position of points 0, 2\n",
      "[[ 249.46000671  185.70599365    0.530563  ]\n",
      " [ 249.46099854  185.69999695    0.53025597]]\n"
     ]
    }
   ],
   "source": [
    "print('Entire points 0, 2:')\n",
    "print(tubes[:4:2])\n",
    "\n",
    "print('\\nPosition of points 0, 2')\n",
    "print(tubes['Position'][:4:2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can easily create a histogram of the radii or visualize the point positions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
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AlD2gicViCIfDRlDG+cL5U6XPqqmV2mbODGfbPMt8TKCpeVY0Gm0xp9hiscDhcLCTNLXC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16aRlSUgalTx9GhQwcAIiMjefHFR3Bzc+PoUQeHD5ewbNkq1qypQaF4nvDwjsyb9y7ffvsKX375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WDTIKRq3iaRTCZlcYtecJCQkhOjratMf2NsqqK7bGuK/Gtu/6G+PctfG1qSuOx5/RSU1xtG4o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\nG19JkiRJUtP+D8/bSXFQfQjxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fef42dde490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(16, 6))\n",
    "\n",
    "ax = fig.add_subplot(1, 2, 1)\n",
    "ax.hist(tubes['Radius'], bins=100)\n",
    "ax.set_xlabel('Radius')\n",
    "ax.set_ylabel('Count')\n",
    "\n",
    "ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "subsample = 100\n",
    "position = tubes['Position'][::subsample]\n",
    "radius = tubes['Radius'][::subsample]\n",
    "ax.scatter(position[:,0], position[:,1], position[:,2], s=(2*radius)**2)\n",
    "ax.set_title('Point Positions')\n",
    "ax.set_xlabel('X')\n",
    "ax.set_ylabel('Y')\n",
    "ax.set_zlabel('Z');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
